SOLUTION: An urn contains 7 red marbles, 6 white marbles and 10 blue marbles. A child randomly selects three (without replacement). Find the probability all have the same color. F

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Question 1200326: An urn contains 7 red marbles, 6 white marbles and 10 blue marbles. A child randomly selects three (without replacement).
Find the probability all have the same color.

Find the probability that none is white.

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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An urn contains 7 red marbles, 6 white marbles and 10 blue marbles.
A child randomly selects three (without replacement).
(a) Find the probability all have the same color.
(b) Find the probability that none is white.
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(a)  Total possible triples  C%5B7%2B6%2B10%5D%5E3 = C%5B23%5D%5E3 = %2823%2A22%2A21%29%2F%281%2A2%2A3%29 = 1771.


     Triples of the same color C%5B7%5D%5E3 + C%5B6%5D%5E3 + C%5B10%5D%5E3 = 35 + 20 + 120 = 175.


         P(a) = 175%2F1771 = 0.09881  (rounded).    ANSWER



(b)  P(b) = C%5B7%2B10%5D%5E3%2F1771 = C%5B17%5D%5E3%2F1771 = 680%2F1771 = 0.3840  (rounded).    ANSWER

Solved.